Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes

被引：162
作者：
Bombin, Hector [1 ,2 ]
机构：
[1] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada
[2] Univ Copenhagen, Deparment Math Sci, DK-2100 Copenhagen O, Denmark
来源：
NEW JOURNAL OF PHYSICS | 2015年 / 17卷
关键词：
topological stabilizer code; transversal gate; gauge fixing; topological color code; TOLERANT QUANTUM COMPUTATION; ERROR-CORRECTION; QUBIT;
D O I：
10.1088/1367-2630/17/8/083002
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Color codes are topological stabilizer codes with unusual transversality properties. Here I show that their group of transversal gates is optimal and only depends on the spatial dimension, not the local geometry. I also introduce a generalized, subsystem version of color codes. In 3D they allow the transversal implementation of a universal set of gates by gauge fixing, while error-dectecting measurements involve only four or six qubits.
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页数：13
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